LACUNARY INVARIANT STATISTICAL EQUIVALENCE FOR DOUBLE SET SEQUENCES

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Atıf İçin Kopyala

ULUSU U., DÜNDAR E., Pancaroglu Akin N.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.71, sa.1, ss.1-12, 2022 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 71 Sayı: 1
• Basım Tarihi: 2022
• Doi Numarası: 10.31801/cfsuasmas.903988
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.1-12
• Anahtar Kelimeler: Asymptotical equivalence, double lacunary sequence, invariant mean, statistical convergence, convergence in the Wijsman sense, CONVERGENCE
• Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the notions of asymptotical strong sigma(2)-equivalence, asymptotical sigma(2)-statistical equivalence, asymptotical lacunary strong sigma(2)-equivalence and asymptotical lacunary sigma(2)-statistical equivalence in the Wijsman sense for double set sequences. Also, we investigate some relations between these new asymptotical equivalence notions.